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12) (5 points) A roller coaster car moves around a vertical circle. At the bottom of...
You are testing a new roller coaster ride in which a car of mass m moves...
You are testing a new roller coaster ride in which a car of mass m moves around a vertical circle of radius R. In one test, the car starts at the bottom of the circle (point A) with initial kinetic energy Ki. When the car reaches the top of the circle (point B), its kinetic energy is Ki/4, and its gravitational potential energy has increased by Ki/2. What was the speed of the car at point A, in terms of...
A car in an amusement park roller coaster ride rolls without friction at the top of...
A car in an amusement park roller coaster ride rolls without friction at the top of a hill. The car begins at a height h from the top of a hill. A the bottom, the car then goes through a vertical loop where the car is upside down at the loop\'s top. If the radius of the loop is 20.0m, what is the minimum height h such that the car moves around the loop without falling off the track at...
A roller coaster at an amusement park has a dip that bottoms out in a vertical...
A roller coaster at an amusement park has a dip that bottoms out in a vertical circle of radius r. A passenger feels the seat of the car pushing upward on her with a force equal to twice her weight as she goes through the dip. If r = 20.0 m, how fast is the roller coaster traveling at the bottom of the dip?
A roller coaster at an amusement park has a dip that bottoms out in a vertical...
A roller coaster at an amusement park has a dip that bottoms out in a vertical circle of radius r. A passenger feels the seat of the car pushing upward on her with a force equal to three times her weight as she goes through the dip. If r = 18.0 m, how fast is the roller coaster traveling at the bottom of the dip? The answer is NOT 26.56
3. A frictionless roller-coaster goes around a circular loop of radius 11 m. It enters the...
3. A frictionless roller-coaster goes around a circular loop of radius 11 m. It enters the bottom of the loop going 32 m/s. Find the speed of the roller-coaster when it gets to the top of the loop 4. For the loop in the previous problem find the velocity of the roller-coaster as a function of height off the ground. Use that to find the centripetal acceleration as a function of height. Plot the centripetal acceleration as a function of...
One portion of the track of a toy roller coaster is bent into a full vertical...
One portion of the track of a toy roller coaster is bent into a full vertical circle of radius R. A small cart rolling on the track enters the bottom of the circle with a speed √gR. Show that this cart will fall off the track before it reaches the top of the circle, and find the (angular) position at which the cart loses contact with the track.
1. A roller coaster at an amusement park has a dip that bottoms out in a...
1. A roller coaster at an amusement park has a dip that bottoms out in a vertical circle of radius r. A passenger feels the seat of the car pushing upward on her with a force equal to twice her weight as she goes through the dip. If r = 28.7 m, how fast is the roller coaster traveling at the bottom of the dip? 2. A 0.21-kg ball on a stick is whirled on a vertical circle at a...
Problem 1 You are designing a roller coaster, shown in the figure below. An empty car...
Problem 1 You are designing a roller coaster, shown in the figure below. An empty car has a mass of 120 kg. The radius of the vertical loop in the track is 12.0 m and the bottom of the loop is 5.0 m above the ground. Assuming the roller coaster is frictionless, how high must the car initially climb above the ground (point A) such that the speed of the car is 25.0 m/s at the top of the loop...
12. ** A vertical loop in a roller coaster has a radius of curvature of 20...
12. ** A vertical loop in a roller coaster has a radius of curvature of 20 met would riders need to be strapped in to prevent folli what speed at the top of the loop would riders need to be strapped out? (Note for future roller coaster engineers: it's probably still a safety straps or restraints even above this speed.) it's probably still a good idea to have
A certain roller coaster design uses a vertical loop of radius 7.248 m. Assuming that the...
A certain roller coaster design uses a vertical loop of radius 7.248 m. Assuming that the roller coaster remains on the track, what is the minimum speed of a car at the top of the loop? (HINT: In general, the centripetal force is the vector sum of the car's weight w and the normal force N exerted by the tracks. The value of N varies with the speed. The minimum value of N is zero, which occurs when the roller...
3. A frictionless roller-coaster goes around a circular loop of radius 11 m. It enters the bottom of the loop going 32 m/s. Find the speed of the roller-coaster when it gets to the top of the loop 4. For the loop in the previous problem find the velocity of the roller-coaster as a function of height off the ground. Use that to find the centripetal acceleration as a function of height. Plot the centripetal acceleration as a function of...
Problem 1 You are designing a roller coaster, shown in the figure below. An empty car has a mass of 120 kg. The radius of the vertical loop in the track is 12.0 m and the bottom of the loop is 5.0 m above the ground. Assuming the roller coaster is frictionless, how high must the car initially climb above the ground (point A) such that the speed of the car is 25.0 m/s at the top of the loop...
12. ** A vertical loop in a roller coaster has a radius of curvature of 20 met would riders need to be strapped in to prevent folli what speed at the top of the loop would riders need to be strapped out? (Note for future roller coaster engineers: it's probably still a safety straps or restraints even above this speed.) it's probably still a good idea to have
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